Answer:
Two numbers differ by 9 and the sum of their square is 653. What are the numbers?
Well,that's a mathematical question from algebra and it's quite difficult to answer such questions by writing through the circumstances offered by apps like quora.
However,I have tried to answer your question in an understandable way.Hope you may not find it difficult to analyze.
Let the numbers be x and (9+x)
Therefore,according to given,
x^2 + (9+x)^2 =653
=>x^2 + (9)^2 + x^2 + 2×(9)×(x)=653 (Applying the formula of (a+b)^2)
=>x^2 + 81 + x^2 + 18x =653
=>2x^2 + 18x + (81-653)=0
=>2x^2 + 18x - 572=0
=>2x^2 + (44x - 26x) - 572=0
=>2x^2 + 44x - 26x - 572=0
=>2x(x + 22) - 26(x + 22)=0
=>(x + 22)(2x - 26)=0
But since the number can't be negative
Therefore, x=13
Hence,the required numbers are 13 and 22.
Step-by-step explanation:
in first hope you like it
Been stuck for 30 mins now please help !!!
Answer:
D) y = 2x + 1
Step-by-step explanation:
Write an expression to represent: Four less than the product of one and a number xxx
Answer:
xxx-4
Step-by-step explanation:
(1×xxx)-4
yietisyksykd
Answer:
(1xxx)-4
Step-by-step explanation:
Since 1 and xxx are multiplied, they produce 1xxx and eventually 4 is subtracted so 1xxx-4 and I put the brackets just to make it clear about what is going on in the expression
If (3a+4b)=16 and ab=4, find the value of (9a^2+16b^2).
Answer:
160
Step-by-step explanation:
(3a+4b) = 16
ab = 4
Square (3a+4b)
(3a+4b)(3a+4b) = 16^2
9a^2 + 12ab+12ab+16b^2 = =256
9a^2 +16b^2 +24ab=256
9a^2 +16b^2 +24ab - 24 ab=256 -24ab
9a^2 +16b^2 =256- 24ab
We know ab = 4
9a^2 +16b^2 =256- 24*4
9a^2 +16b^2 =256- 96
9a^2 +16b^2 =160
solve for x please help ! (show work)
Answer:
x = 1
Step-by-step explanation:
-2x + 8x + 3 - 7 = 2
Combine like terms
-2x + 8x = 6x
3 - 7 = -4
We now have
6x - 4 = 2
Add 4 to both sides
6x - 4 + 4 = 2 + 4
6x = 6
Divide both sides by 6
6x/6 = 6/6
x = 1
Find the circumference and area of a circle with a diameter of 6m. Leave you answers in terms of π.
Circumference:
Area: 9π
(Personal Note- I figured out the area it is 9π)
Answer:
6π
Step-by-step explanation:
Diameter = 6
Radius = Diameter/2 = 6/2 = 3
Circumference = 2(π)(r) = 2(π)(3) = 6π
look at the image to see the answer
ANSWER PLEASE I think it's 6 but it's just to much thinking A
Answer:
C. [tex]5\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{2}[/tex] cups of milk makes 1 quart of yogurt.
x cups of milk makes [tex]3\frac{1}{2}[/tex] quarts of yogurt.
[tex]\frac{milk}{yogurt}= \frac{1\frac{1}{2} }{1} =\frac{x}{3\frac{1}{2} }[/tex]
Cross multiply.
[tex]1\frac{1}{2}[/tex] × [tex]3\frac{1}{2}[/tex] = 1 × x
You get:
[tex]5\frac{1}{4} =x[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
In the data set shown below, what is the value of the quartiles?
{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95
B. Q1 = 4.7; Q2 = 5.5; Q3 = 6
C. Q1 = 4.7; Q2 = 5.5; Q3 = 5.9
D. Q1 = 4.6; Q2 = 5.5; Q3 = 5.92
Answer:
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95Step-by-step explanation:
Q2 is the median of the data set:
Q2 = 5.5Q1 is the median of lower half:
Q1 = (4.5 + 4.7)/2 = 4.6Q3 is the median of upper half:
Q3 = (5.9 + 6)/2 = 5.95Correct choice is A
Answer:
A.Q1 = 4.6;Q2 = 5.5;Q3 = 5.95
Step-by-step explanation:
I hope this helps
Use the diagram to answer the question below.
Points A, B, and C are collinear.
True
False
Answer:
I think it's a true
I hope it's helps you
Sasha Cohen does a triple toe loop (rotating 1080 degrees) in 1.5 s. What is her average angular speed during this jump
360°/s
3.0 rad/s
12.6 rad/s
720 rad/s
9514 1404 393
Answer:
12.6 rad/s
Step-by-step explanation:
1080 degrees in 1.5 seconds is an angular rate of ...
(1080°)/(1.5 s) = 720 °/s
There are π radians in each 180°, so this angular speed is ...
720 °/s = 4×180 °/s = 4×π rad/s ≈ 12.6 rad/s
Sasha's average angular speed is 12.6 rad/s.
Which of the following is an example of a producer?
1. tree
2. hawk
3.rabbit
4. mushroom
Answer:
1. treeStep-by-step explanation:
Tree as an autotroph can prepare its own food and which animals and humans feed upon, so the tree is a producer
what should be added to 780629 so that the sum is exactly divisible by 493?
Answer:
283
Step-by-step explanation:
Given problem is based on divisibilityy,
= 780629/493
quotient = 1583
remainder = 210
So,Add 283 with remainder (210) to get 493
= 283+210
= 493
There for 283 should be added to 780629 so that the sum is exactly divisible by 493
The problem has come from division .
First divide them
[tex]\\ \sf\longmapsto \dfrac{480629}{493}[/tex]
[tex]\\ \sf\longmapsto Remainder=210[/tex]
[tex]\\ \sf\longmapsto Quiotent=1583[/tex]
Now We have to add x to the remainder by which it will be 493
[tex]\\ \sf\longmapsto x+210=493[/tex]
[tex]\\ \sf\longmapsto x=493-210[/tex]
[tex]\\ \sf\longmapsto x=283[/tex]
Consider a normal population with a mean of 10 and a variance of 4. Find P(x < 6)
Answer: .0228
Step-by-step explanation: z = (6 − 10)/√4 = −2
P(X < 6) = .0228
Jack is going to the fair. The fair charges $10 to enter and $0.25 per ticket. How much will be spent by Jack? t = tickets 0.25 + 10 10 + 0.25t
Answer:
10 + .25t
Step-by-step explanation:
The total amount spent is equal to the amount to get in plus the cost of the tickets times the number of tickets
cost = 10 + .25t
Solve for X
Answer choices
4
5
8
3
2
Both are supplementary angles so their sum will be 180°
[tex]\\ \sf\longmapsto -2x+54=142[/tex]
[tex]\\ \sf\longmapsto -2x=142-54[/tex]
[tex]\\ \sf\longmapsto -2x=88[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-88}{2}[/tex]
[tex]\\ \sf\longmapsto x=-44[/tex]
Answer:
Answer:THE ANSWER IS 8 I HOPE IT WILL HELP YOU A LOT.
please help
Evaluate 3^x for x = −2, x = 1, and x = 3.
A)1∕3, 0, 9
B) 9, 3, 27
C) 1∕9, 3, 27
D)1∕9, 9, 27
Step-by-step explanation:
1/3,0,9
9,3,27
1/9,3,27
The distance a race car travels is given by the equation, [tex]d=v_{0} t+\frac{1}{2} at^{2}[/tex], where [tex]v_{0}[/tex] is the initial speed of the race car, a is the acceleration and t is the time traveled. Near the beginning of a race, the driver accelerates for 9 seconds at a rate of [tex]4m/s^{2}[/tex]. The driver's initial speed was 75 m/s.
Find the driver's average speed during the acceleration.
Step-by-step explanation:
here's the answer to your question
look at the image below urgent needs to be done by midnight tonight to promote to the next grade level
Answer:
1526.81403
Step-by-step explanation:
V=πr^2 h/3
Answer:
V = 1526.8 yd^3
Step-by-step explanation:
V = [tex]\pi[/tex][tex]r^{2}[/tex]([tex]\frac{h}{3}[/tex])
r = 9yd
h = 18yd
V = [tex]\pi[/tex][tex](9)^{2}[/tex]([tex]\frac{18}{3}[/tex])
V = [tex]\pi[/tex](81)(6)
V = 486[tex]\pi[/tex]
V = 1526.8 yd^3
find products of (SinA+CosA)* (SinA_ CosA)
Answer:
(sin2A--cos2A)
hope this helps you
What is the mean of this data set?
A. 84
B. 85
C. 83
D. 88
Answer:
85
Step-by-step explanation:
Add to get total. divide by 4.
Answer:
B. 85
Step-by-step explanation:
Sorry for this very late response. But if anyone wasn't sure if 85 is the correct answer, it is. I can confirm this because I just took the test. I hope I could help! (:
A runner sprinted for 414 feet. How many yards is this?
Answer:
138 yards
Step-by-step explanation:
1 feet is (1/3) yard
414 feet is (1/3)*414=138 yards
I need answering ASAP please and thank you
Answer:
one
Step-by-step explanation:
The red graph intersects the blue graph at one point
That is the number of solutions to the system
Answer:
one
Step-by-step explanation:
I had to do this question once. It was hard. I remember the answer. it is one. You have to trust me.
For the function y=f(x), find f’(a)
Answer:
-1
Step-by-step explanation:
f(x) = x²+3x+1
f(a) = a²+3a+1
f'(a) = 2a+3
putting a = -2
2×(-2)+3
= -4+3
= -1
What is the volume of a cone below?
Let f(x)=−5x+18 and g(x)=x2+15.
Find f(−2)−g(−2).
Answer:
21
Step-by-step explanation:
-5(-2)-(-2)²+15
10-(4)+15
10-4+15
21
Answer:
9
Step-by-step explanation:
f(x)=−5x+18
f(-2) = -5(-2)+18 = 10+18 = 28
g(x)=x^2+15
g(-2) = (-2)^2 +15 = 4+15 = 19
f(02) - g(-2) = 28 - 19 = 9
What is the scale factor of the dilation?
A. 2/5
B. 2/3
C. 3/2
D. 8/5
Find the volume of the figure round your answer to the nearest tenth if necessary
Answer:
56.5
I think this is right
3.06 as. a fraction PLEASE HELP
Answer:
153/50
Step-by-step explanation:
3.06
Rewriting as
There are two numbers after the decimal so we put the number over 100
306/100
Divide top and bottom by 2
153/50
To write 3.06 as a fraction you have to write 3.06 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
3.06 = 3.06/1 = 30.6/10 = 306/100
And finally we have:
3.06 as a fraction equals 306/100
HELP ASAP PLEASE I WILL MARK BRAINLEST
Show all work to identify the asymptotes and zero of the function f of x equals 6 x over quantity x squared minus 36.
Answer:
vertical asymptotes
x=6, x=-6
horizontal asymptotes
y=0
zeros (0,0)
Step-by-step explanation:
f(x) = 6x / ( x^2 - 36)
First factor
f(x) = 6x / ( x-6)(x+6)
Since nothing cancels
The vertical asymptotes are when the denominator goes to zero
x-6 = 0 x+6=0
x=6 x= -6
Since the numerator has a smaller power than the denominator (1 < 2), there is an asymptote at y = 0
To find the zeros, we find where the numerator = 0
6x=0
x=0
[tex]\\ \rm\Rrightarrow y=\dfrac{6x}{x^2-36}[/tex]
The h orizontal asymptote
As x has less degree than x²
y=0 is a asymptoteVertical asymptote
x²-36=0x²=36x=±6Simply this rational expression.
URGENT! PICTURE INCLUDED
Answer:
35n/17r
Step-by-step explanation:
